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SpyIntel [72]
3 years ago
10

(a + b)² = a² + 2ab + b2 with step by step explanation​

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Step-by-step explanation:

Given: (a+b)²

To prove: (a+b)² = a² + 2ab + b²

Proof:-

(a+b)² = (a+b)(a+b)

(a+b)²=a(a+b)+b(a+b)

(a+b)² = a²+ab+ab+b²

(a+b)² = a²+2ab+b².

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Answer:

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Step-by-step explanation:

ln(\frac{3e^{5} }{x^3} )

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ln(3e^5) = ln(3) + ln(e^5), since ln(xy) = ln(x) + ln(y)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + ln(e^5)-ln(x^3)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + 5ln(e) -3ln(x), since ln(x^y) = yln(x)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + 5 -3ln(x) , since ln(e)=1

if needed further simplification,

ln(3) = 1.0986

ln(e) = 1

ln(\frac{3e^{5} }{x^3} ) = 6.0986 - 3ln(x)

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